Partial complements in finite soluble groups
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Let G be a finite group with normal subgroup N. Let K be a subgroup of G. We say that K is a partial complement of N in G if N and K intersect trivially. There are two main results in this work. The first main result arises from analysing when each partial complement of N in G is contained in a complement of N in G when G is a finite soluble group, N is the product of minimal normal subgroups, N is complemented and all the complements of N in G are conjugate. We show that each partial...[Show more]
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